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Finding the Fourth Proportional to 11,665.76, 17,498.66 and 4,270.19

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Solution

The fourth proportional to 11,665.76, 17,498.66 and 4,270.19 is: 6,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.76 : 17,498.66 = 4,270.19 : x
  2. Step 2: Convert to fraction form
    11,665.76/17,498.66 = 4,270.19/x
  3. Step 3: Cross multiply
    11,665.76x = 17,498.66 × 4,270.19
  4. Step 4: Simplify right side
    11,665.76x = 74,722,494.10
  5. Step 5: Solve for x
    x = 74,722,494.10/11,665.76
  6. Step 6: Final answer
    x = 6,405.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.